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The aim of this exercise is to show that -1<=p(X,Y)<=1 for any pair (X,Y) of random variables, where p(X,Y) is the correlation coefficient
a) express f(t)=var(X+tY)=at^2+bt+c using the bilinearity of covariance
b) Why do we have b^2-4ac<=0? Hint: Quadratic Formula
c) Express p(X,Y) as a function of a,b,c and show that -1<=p(X,Y)<=1
Assume that a 95% confidence interval estimate of the population mean annual starting salary is required. What is the planning value for the population standard deviation?
seven persons are staying at a hotel. the hotel has twenty-five floors each with the same number of rooms. each of the
let et wn02. state for each of the following model whether it is stationary and whether it is invertible. explain your
given an initial distribution of px z exp-zx with z 0.2 and an uncertainty term with a standard deviation of 2.
The president of the wholesale distributor is concerned about the possibility of stockouts causing a loss of customer confidence and loyalty and is interested in maintaining safety stock in inventory to prevent potential stockouts.
A machine is set to fill a small bottlewith 9gram of a medicine. A sample of 8 bottles revealed the following amount (g) in each bottle. At the .01 sig level, can we conclude that the mean weight is less than 9 grams?
twenty percent of all cars manufactured by a certain company have a defective transmission system. if a dealer has sold
an entomologist writes an article in a scientific journal which claims that fewer than 20 in ten thousand male
Determine the expected value and standard error of the sum of 400 draws?
A realtor took a random sample of records of sales of homes from the files maintained by the Albuquerque Board of Realtors.
a an electrical noise voltage is shown to be gaussian with a mean of zero and a variance of 1 volts squared. what is
data on the number of occurrences per time period and observed frequencies follow.nbspnbspcompute the value of the test
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